The pressure P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 84 Pa at a volume of 36 L. If the volume is expanded to 216 L, what will the new pressure be?
Answers
Using Pressure and Volume: P = k/V
The first step is to find k, the constant of variation. This number will not change in the equation for finding volume or pressure.
Using the given data:
84 = k/36
multiply both sides by 36.
3024 = k so the equation is P = 3024/V
P = 3024 / 216
P = 14
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Find three consecutive even integers whose sum is 36.
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Tickets to a play cost $14 each by mail, plus a $2 processing fee for each order or one or more tickets. Write a rule to describe the total cost as a function of the number of tickets.
–7.12 = –4.8 + x
A.
–11.92
B.
–11.2
C.
–2.32
D.
2.32
Answers
-7.12=-4.8+x
add 4.8 to both sides since -4.8+4.8=0 so it cancels
4.8-7.12=x
simplify
4.80-7.12=-2.32
-2.32=x
the naswer is C
-7.12 = x - 4.8
Add 4.8 on both sides
x = -7.12 + 4.8
x = -2.32
Your final answer is C. -2.32.
Answers
the factors are 8, (x+4), (y+4), (z^2 + 4z + 7) since each of these factors, when you divide that to the whole expression won't give a remainder.
Answer:
Only 2 factors have exactly two terms i.e, (x+4)(y+4)
Step-by-step explanation:
Given : Expression
To find : How many factors in the expression have exactly two terms?
Solution :
Expression cannot be further factorized.
Now, We count the terms in each factor.
1) Factor- 8
Only 1 term i.e, 8 itself.
2) Factor- x+4
Two terms .i.e., x and 4
3) Factor- y+4
Two terms .i.e., y and 4
4) Factor-
Three terms .i.e., , 4z and 7.
Therefore, Only 2 factors have exactly two terms i.e, (x+4)(y+4).
Answers
Answer in Words: One thousand and six hundred twenty-five.
The cube of 10 is 1000.
10 X 10 = 100 (square of ten)
100 x 10 = 1000 (cube of ten)
The square of 25 is 625.
25 x 25 = 625 (square of 25)
Therefore, 1000 + 625 = 1625
the sum is 1625
Based on the context in this sentence, what is the best explanation for a contraption?
A complicated device or mechanism
A moving or rotating machine part
A manufactured good
A sinister restraint
Answers
Answers
Answer:
The required inequality is x > 3.9
Step-by-step explanation:
Consider the provided information.
The closed circle means that the set contain that extreme.
For closed circle we use the inequality "≤" or "≥"
The open circle means that the set does not contain that extreme.
For open circle we use the inequality "<" or ">"
Here, it is given that the graph has an open circle, therefore the required inequality should be "<" or ">"
If the ray moves right, in the usual notation, the real numbers increase to the right, if it moves to left the real numbers decreases.
It is given that the ray moves to right that means the set of numbers bigger than 3.9, that does not contain the number 3.9
Hence, the required inequality is x > 3.9
Where x is any number greater than 3.9.
Answers
Answer:
The area of circle is 78.5 units².
Step-by-step explanation:
Area of the circle is defined by the formula A = π r²
Here r = radius of the circle and value of π = 3.14
Now by putting these values in the formula we can get area of the circle.
A = (3.14) × 5²
A = 3.14 × 25
A = 78.5 units²
The area of circle is 78.5 units²
Since π is about 3.14 we can substitute that into the equation.
So A=3.14×r²
We can substitute the given radius for r.
A= 3.14 × 5²
When a number is squared, or has the two over it, we multiply it by itself.
5 × 5= 25
A= 3.14 × 25
Simplify this and the area of the circle is about 78.5
A≈78.5